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Finding the Fourth Proportional to 2,142.35, 3,212.96 and 909.12

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Solution

The fourth proportional to 2,142.35, 3,212.96 and 909.12 is: 1,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.35 : 3,212.96 = 909.12 : x
  2. Step 2: Convert to fraction form
    2,142.35/3,212.96 = 909.12/x
  3. Step 3: Cross multiply
    2,142.35x = 3,212.96 × 909.12
  4. Step 4: Simplify right side
    2,142.35x = 2,920,966.20
  5. Step 5: Solve for x
    x = 2,920,966.20/2,142.35
  6. Step 6: Final answer
    x = 1,363.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.